Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation
Online Publication Date2019-08-15
Print Publication Date2019-06
Permanent link to this recordhttp://hdl.handle.net/10754/656576
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AbstractIn this paper, we present the dynamics of the simple pendulum by using the fractional-order derivatives. Equations of motion are proposed for cases without input and external forcing. We use the fractional-order Euler-Lagrange equations to obtain the fractional-order dynamic equation of the simple pendulum. We perform equilibria analysis, indicate the conditions where stability dynamics can be observed for both integer and fractional-order models. Finally, phase diagrams have been plotted to visualize the effect of the fractional-order derivatives.
CitationN’Doye, I., & Kirati, T.-M. L. (2019). Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation. 2019 18th European Control Conference (ECC). doi:10.23919/ecc.2019.8795821
SponsorsThe research reported herein is supported by the King Abdullah University of Science and Technology (KAUST).
Conference/Event name2019 18th European Control Conference (ECC)